SOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0.

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1 7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals, percents, and numbers written in scientific notation; d) determine square roots; and e) identify and describe absolute value for rational numbers. 7.1a 1. Which fraction and decimal are equivalent to 10-1 A. and B. and -0.1 C. and 0.01 D. and Many prefixes are used in mathematics and science. The prefix giga in gigameter represents 1,000,000,000 meters. Write this prefix as a power of ten.

2 7.1b Planet Diameter (km) Earth 1.3 x 10 4 Jupiter 1.4 x 10 5 Mars 6.8 x 10 3 Mercury 4.8 x 10 3 Neptune 5.0 x 10 4 Saturn 1.2 x 10 5 Uranus 5.1 x 10 4 Venus 1.2 x Use the table to answer the question. Which planets have a diameter larger than the Earth s diameter? 2. The weight of an average grain of sand is 1.3 x 10-7 grams. Which of the following numbers is equivalent to this value? A. 13,000,000 B. 1,300,000 C D If the length of one side of a square park is 5.9 x 10 2 feet, then the area is square feet. A 2.3 x 10 1 B 1.18 x 10 3 C 3.48 x 10 4 D 3.48 x c 1. Which list of rational numbers contains numbers that are all greater than 1.8 x 10-1? A 20%,, 0.19 C 2%,, 0.2 B 20%,, 0.15 D 2%,, 0.125

3 2. Select all of the rational numbers that are equivalent to 5/ % 250% 2.5 x ½ 3. Arranged the numbers from greatest to least. 0.25,, 2.5%, 2.5 x d 1. Which of the following is NOT a square root of a perfect square? A. C. B. D 2. The area of a square room is 256 square feet. What is the perimeter of the room? A. 32 feet B. 64 feet C. 128 feet D. 512 feet

4 7.1e 1. Select all of the equations that are true. -6= = The student will describe and represent arithmetic and geometric sequences, using variable expressions Let represent any number in this sequence. 1000, 100, 10, 1 Which of these can be used to determine the next number in this sequence? A. 10 B. C. 900 D Use the following sequence to answer the question. 5, 25, 125, 625, Circle all of the following that correctly describe the sequence. Common ratio of 5 Common difference of 20 Geometric Sequence Arithmetic Sequence

5 7.3 The student will a) model addition, subtraction, multiplication, and division of integers; and b) add, subtract, multiply, and divide integers. 7.3a 1. Which equation is represented by the model? A. 4 + (-3) = -3 B. 4 (-3) = -3 C. 4 + (-7) = -3 D. 4 (-7) = Which of the following models represents the expression 2(-3)? A C B D

6 7.3b 1. Which of the following sets of numbers, when placed in the blank make the value of this expression a negative number? (15) + A {-20, -18, -17} C {-10, -8, -7} B {-18, -15, -14} D {-2, -1, 0} 2. Simplify: (-2) A city s daily low temperatures in January fluctuated between -7 o F and 2 F. What was the temperature range? A 2 F C 7 F B 5 F D 9 F

7 4. Two numbers are represented by the points P and Y on the number line Which statement is false? A B P Y < 0 C D P + Y < The student will solve single-step and multistep practical problems, using proportional reasoning. 1. Darcia made a snack mix using the following recipe. 1 ¼ cups granola, ¾ cup peanuts, ½ cup raisins, ¼ cup chocolate chips. If she used 3 cups of granola and wanted to keep the ingredients proportional, how much would she use of each of the other ingredients. cup(s) peanuts cup(s) raisins cup(s) chocolate chips

8 2. Juanita wants to purchase a jacket that cost $231. If Juanita earns $66 for every 3 hours she works, about how many hours will it take her to earn enough to purchase the jacket? A 1.5 hours B 3.5 hours C 5.5 hours D 10.5 hours 3. Mr. Callaway needs to purchase enough grass seed to cover a 3000-square-foot lawn and a 4200-square-foot lawn. If 40 ounces of grass seed will seed a 2400-square-foot lawn, how many ounces does he need to seed both lawns? A 3 C 120 B 50 D At a discount furniture store, Chris offered a salesperson $600 for a couch and a chair. The offer includes the 8% sales tax. If the salesperson accepts the offer, what would be the price of the furniture, to the nearest dollar, before tax? A $552 C $592 B $556 D $ A scale drawing for a construction project uses a scale of 1 inch = 4 feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 12 inches. What will be the actual area of the floor of the family room after the construction project is completed? A 90 square feet B 156 square feet C 360 square feet D 1440 square feet

9 6. A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, create a proportion that can be used to determine how long, T (in hours), it would take the truck to travel 325 miles? The student will a) describe volume and surface area of cylinders; b) solve practical problems involving the volume and surface area of rectangular prisms and cylinders; and c) describe how changing one measured attribute of a rectangular prism affects its volume and surface area. 7.5a 1. Grant is creating a new solid cylindrical pole for the sail on his boat. He will melt the metal down to form the pole and then paint it. The pole will be 16 feet tall and have a diameter of 6 inches. Which of the following statements are correct? Grant needs to Find the surface area to figure out how much metal to buy. Find the volume to know how much paint he will need to paint the outside. Find the surface area to know how much paint he will need to paint the outside. Find the volume to know how much space the pole will take up on the deck. Find the surface area to know how much space the pole will take up on the deck. Find the volume to figure out how much metal to buy. 7.5b 1. A swimming pool is 50 meters long, 25 meters wide and 3 meters deep. A liter is the same as cubic meters. How many liters of water are needed to fill the pool? A 3,750 liters B 37,500 liters C 375,000 liters D 3,750,000 liters

10 2. As a project in tech class, the students are making aluminum flower pots shaped like cylinders. There is a bottom on each pot, but no top. If the pots are 9 inches in height and have a diameter of 12 inches, how many square inches of aluminum are needed for each pot? 7.5c 1. The rectangular prism shown has a volume of 60 cm 3. If the height of the prism is increased to 15 cm and the other dimensions remain the same, the volume- A Doubles B Triples C Increases by 15 cm 3 D Increases by 900 cm 3 2. What happens to the volume of a prism if all three dimensions are doubled? The Volume. A doubles B triples C gets 6 times bigger D gets 8 times bigger

11 7.6 The student will determine whether plane figures quadrilaterals and triangles are similar and write proportions to express the relationships between corresponding sides of similar figures Which of the following statements are false? is congruent to Angle A is congruent to angle F Angle F is congruent to angle A Angle B is congruent to angle E 2. If Quadrilateral DOGS is similar to Quadrilateral BEAR, then A B C D

12 3. If Triangle A is similar to triangle B, then what is the scale factor from triangle A to triangle B? A 3 C B 2 D 7.7 The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid Select all statements that are true about all parallelograms? all 4 sides are congruent opposite sides are parallel all angles are congruent diagonals are congruent the sum of all the angles is 360 o diagonals bisect each other Which answer choice best describes the pictured? Quadrilateral A quadrilateral, parallelogram B rhombus, parallelogram C rectangle, rhombus D trapezoid, isosceles trapezoid 7.8 The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane The triangle to the right is a pre-image. If it is rotated about the origin 180 o clock wise. Plot the location of?

13 2. If rectangle T E X S represents the image after a translation of 3 units to the right and 2 units down, which of the following ordered pairs would represent the coordinates for point T? A (-1, 2) B (-1, 6) C (-7, 6) D (-7, 2)

14 The student will investigate and describe the difference between the experimental probability and theoretical probability of an event Mark rolled two fair number cubes 50 times and got the sum of 7, eight times. Complete the inequality below to show the relationship between the experimental probability and theoretical probability of Marks situation. Experimental Probability Theoretical Probability 2. Which of the following statements is true? When rolling a fair number cube A the theoretical probability is always greater than the experimental probability. B the theoretical probability is always less than the experimental probability. C the more times the cube is rolled the closer the experimental probability gets to theoretical probability. D the number 7 will appear more than the number 1.

15 7.10 The student will determine the probability of compound events, using the Fundamental (Basic) 7.10 Counting Principle. 1. A deck of cards contained 3 red cards, 9 purple cards, 4 green cards and 2 blue cards. If two cards are selected with replacement, what is the probability that the first card was a purple and the second card was also purple. Select the type of event and the probability then write each selection in the line below the tables. Type of Event Dependent Event Independent Event Simple Event Probability 90% 50% 25%

16 2. A combination lock opens when the user moves the three dials to three set numbers. If each dial can be set at any number 1 through 9, how many lock combinations are possible? A 1,000 B 729 C 30 D The student, given data for a practical situation, will a) construct and analyze histograms; and b) compare and contrast histograms with other types of graphs presenting information from the same data set. 7.11a 1. About what percent of the cars have an average of 25 to 45 miles per gallon? A 6% B 10% C 35% D 50%

17 1. Which histogram could be used to represent the circle graph to the right? 11b A C

18 7.12 The student will represent relationships with tables, graphs, rules, and words Plot a point that would be a solution to the graphed line and write the order pair. (, )

19 2. Which of the following equations best represents the data in the table? X Y A y = -4 x + 2 C y = -2 x + 6 B y = -5 x D y = -7 x The student will a) write verbal expressions as algebraic expressions and sentences as equations and vice versa; and b) evaluate algebraic expressions for given replacement values of the variables. 7.13a 1. Select all the phrases that could represent the following expression: 2x + 10 Double a number and ten Double the sum of a number and ten The difference between twice a number and ten Two times a number and ten Two and a number plus 10 Twice a number plus ten 7.13b 1. Simplify the following expression when b= -3 and v =. Write your answer in the box provided below the expression. -3 v b 2 + bv

20 2. Which number could replace the variable to make the expression equivalent to 6? A -2 B -1 C 1 D 2 (4 r 2 2 r) 7.14 The student will a) solve one- and two-step linear equations in one variable; and b) solve practical problems requiring the solution of one- and two-step linear equations. 7.14a Use the model to answer the question. Which equation and solution is represented by the model? A 2 x 3 = 9, x = 6 B 2 x 3 = 9, x = 3 C - 2 x + 3= 9, x = 6 D - 2 x 3 = 9, x = b

21 1. Quami earns $10 helping his friend clean windows during his summer vacation. He charges $1 for the first window and $0.50 for each addition window ( x) he washes. Select the correct equation and solution then write each selection in the line below the tables? Equation 0.5 x + 1 = x = 10 x + 1 = 10 x = The student will a) solve one-step inequalities in one variable; and b) graph solutions to inequalities on the number line. 7.15a 1. Select all numbers that would satisfy the inequality -10x >

22 7.15b 1. Select all of the inequalities that could be represented by the following graph. Solution x = 4.5 x = 9 x = 9.5 x = The student will apply the following properties of operations with real numbers: a) the commutative and associative properties for addition and multiplication; b) the distributive property; c) the additive and multiplicative identity properties; d) the additive and multiplicative inverse properties; and e) the multiplicative property of zero. 7.16a 1. Rachel noticed that for her rectangular backyard had a width of 7 yards and a length of 15 yards, she knew she could either multiply 7 times 15 or 15 times 7 to get the area of the back yard. What property allows her to do this? A Commutative property of addition B Commutative property of multiplication C Associative property of addition

23 D Associative property of multiplication 7.16b 1. Is the equation 0.2(10x 5) = -8 equivalent to 2x 1 = -8? A Yes, the equations are equivalent by the associative property of multiplication. B Yes, the equations are equivalent by the commutative property of multiplication. C Yes, the equations are equivalent by the distributive property D No, the equations are not equivalent. 7.16c 1. The multiplicative identity property was applied in which equation? A B C 7.16d D 1. What number should be placed in the blank to make the following equation true? 7.16e

24 1. Select all the equations that illustrate the zero property of multiplication. 3 3 = = = + 0